Universität Wien

250072 VO Selected topics in number theory (2009S)

Algebraic groups

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 09.03. 13:00 - 15:00 Seminarraum
  • Monday 16.03. 13:00 - 15:00 Seminarraum
  • Monday 23.03. 13:00 - 15:00 Seminarraum
  • Monday 30.03. 13:00 - 15:00 Seminarraum
  • Monday 20.04. 13:00 - 15:00 Seminarraum
  • Monday 27.04. 13:00 - 15:00 Seminarraum
  • Monday 04.05. 13:00 - 15:00 Seminarraum
  • Monday 11.05. 13:00 - 15:00 Seminarraum
  • Monday 18.05. 13:00 - 15:00 Seminarraum
  • Monday 25.05. 13:00 - 15:00 Seminarraum
  • Monday 08.06. 13:00 - 15:00 Seminarraum
  • Monday 15.06. 13:00 - 15:00 Seminarraum
  • Monday 22.06. 13:00 - 15:00 Seminarraum
  • Monday 29.06. 13:00 - 15:00 Seminarraum

Information

Aims, contents and method of the course

An algebraic groups is an algebraic variety on which a group structure is defined such that multiplication and inversion are algebraic morphisms. An example of such a group is the general linear group GL(n). Algebraic groups play a central role in many areas of pure mathematics such as algebraic geometry (invariant theory and moduli spaces), the theory of automorphic forms, the representation theory of real and p-adic Lie groups as well as number theory. The theory of algebraic groups divides into the examination of their structure and the study of their representations. In the course we want to give an introduction to the structure theory of these groups. We will assume familiarity with basic notions of algebraic geometry.

Assessment and permitted materials

Oral examination

Minimum requirements and assessment criteria

Overview over the theory of algebraic groups and related methods

Examination topics

Reading list

Humphreys "Linear algebraic groups"
Springer "Linear algebraic groups"

Association in the course directory

MALV

Last modified: Mo 07.09.2020 15:40